Question

Which expression represents the distance

between point G and point H?
|-12|16| |-12|+|-9|
1-9|-|-6|
|-12|+|6|
-15
H(-9,6)
G(-9,-12)
15+y
0
-15-
15

Answer 1

Explanation:

2

Answer 2

The distance between points G(-9, -12) and H(-9, 6) is 18 units. Thus, the expression representing this distance is simply
`\( \mathbf{18} \)`.

Explanation:

To find the distance between two points
`\((x_1, y_1)\)` and
`\((x_2, y_2)\)` in a coordinate system, you can use the distance formula:

`\[ d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) \]`

In this case, the points are \(G(-9, -12)\) and \(H(-9, 6)\). Plug these values into the formula:

`\[ d = √((-9 - (-9))^2 + (6 - (-12))^2) \]`

Simplifying:

`\[ d = √(0^2 + 18^2) \]`

`\[ d = √(0 + 324) \]`

`\[ d = √(324) \]`

`\[ d = 18 \]`

So, the distance between point G and point H is 18 units. Therefore, the expression that represents this distance is (18).